Combined Discrete And Continual Approaches In Biological Modelling
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Combined Discrete and Continual Approaches in Biological Modelling
Author: Alexander E. Filippov
language: en
Publisher: Springer Nature
Release Date: 2020-06-30
Basic laws of nature are rather simple, but observed biological structures and their dynamic behaviors are unbelievably complicated. This book is devoted to a study of this “strange” relationship by applying mathematical modeling to various structures and phenomena in biology, such as surface patterns, bioadhesion, locomotion, predator-prey behavior, seed dispersal, etc. and revealing a kind of self-organization in these phenomena. In spite of diversity of biological systems considered, two main questions are (1) what does self-organization in biology mean mathematically and (2) how one can apply this knowledge to generate new knowledge about behavior of particular biological system? We believe that this kind of “biomimetics” in computer will lead to better understanding of biological phenomena and possibly towards development of technical implications based on our modeling.
Nonlinear Hybrid Continuous/Discrete-Time Models
Author: Marat Akhmet
language: en
Publisher: Springer Science & Business Media
Release Date: 2011-05-03
The book is mainly about hybrid systems with continuous/discrete-time dynamics. The major part of the book consists of the theory of equations with piece-wise constant argument of generalized type. The systems as well as technique of investigation were introduced by the author very recently. They both generalized known theory about differential equations with piece-wise constant argument, introduced by K. Cook and J. Wiener in the 1980s. Moreover, differential equations with fixed and variable moments of impulses are used to model real world problems. We consider models of neural networks, blood pressure distribution and a generalized model of the cardiac pacemaker. All the results of the manuscript have not been published in any book, yet. They are very recent and united with the presence of the continuous/discrete dynamics of time. It is of big interest for specialists in biology, medicine, engineering sciences, electronics. Theoretical aspects of the book meet very strong expectations of mathematicians who investigate differential equations with discontinuities of any type.
Tribology Across Scales: Theory, Simulation and Experiment
Author: Jasminka Starčević
language: en
Publisher: Springer Nature
Release Date: 2025-05-01
This book is dedicated to Prof. Dr. rer. nat. Valentin L. Popov, who has become an internationally recognized leading figure in the field of tribology within the past 35 years. He has collaborated with numerous scientists and researchers all over the world. His countless publications cover not only research contributions to classical tribology in mechanical engineering, but also to more modern fields such as nanotribology or biotribology. They include experimental investigations, theoretical approaches, and numerical simulations from the nanoscale to the macroscale. In tribute to the outstanding work of Prof. Popov, this book brings together advanced contributions in the field of tribology written by more than 40 distinguished scientists and researchers. MP4 File via app: download the SN More Media app for free, scan a link with play button and access MP4 File directly on your smartphone or tablet.